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Biot-Savarts law

  1. Feb 11, 2012 #1
    Hi

    When solving Biot-Savarts law for a current loop of radius R, the magnetic field on the axis of the loop is given by (in Tesla)
    [tex]
    B(z) = \mu_0I\frac{R^2}{(R^2+z^2)^{\frac{3}{2}}}
    [/tex]
    where I is the current through the loop. However, this derivation assumes that the loop has an infinitesimal thickness. But how is the "proper" way to take into account the fact that a current loops has a finite thickness?

    My book on Electrodynamics (Griffiths) does not address this issue, and it is something I have thought about for some time.

    Best,
    Niles.
     
  2. jcsd
  3. Feb 11, 2012 #2
    I suppose by carrying out a more sophisticated integration where,perhaps,the thick coil can be considered as a number of narrow coils connected side by side and making good electrical contact with eachother.

    (Is your equation missing a 2pi?)
     
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